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Finding the Fourth Proportional to 291,077.26, 401,686.02 and 163,753

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Solution

The fourth proportional to 291,077.26, 401,686.02 and 163,753 is: 225,978.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,077.26 : 401,686.02 = 163,753 : x
  2. Step 2: Convert to fraction form
    291,077.26/401,686.02 = 163,753/x
  3. Step 3: Cross multiply
    291,077.26x = 401,686.02 × 163,753
  4. Step 4: Simplify right side
    291,077.26x = 65,777,290,833.06
  5. Step 5: Solve for x
    x = 65,777,290,833.06/291,077.26
  6. Step 6: Final answer
    x = 225,978.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.